Resonant amplification of magnetic fields from chiral currents in spacetimes with torsion

TL;DR

This paper explores how torsion in spacetime can resonantly amplify magnetic fields through solutions of the nonlinear spinor equation, with implications for early universe magnetogenesis.

Contribution

It demonstrates helicity-dependent resonant amplification of magnetic fields in spacetimes with torsion, extending previous models to include nonlinear spinor effects and QCD domain walls.

Findings

Magnetic fields can be resonantly amplified depending on helicity.

Torsion effects are helicity-dependent.

Results align with previous QCD domain wall studies.

Abstract

Resonant amplification of magnetic fields in spacetimes with torsion are investigated by solving the Heisenberg-Ivanenko nonlinear spinor equation. It is shown that torsion is helicity dependent and that the magnetic fields can be resonantly amplified and that the spinor solution leads to an amplification of the magnetic field dependant of the sign of helicity. The QCD domain wall case with torsion is also investigated and the results compared with recent results by Forbes and Zhitnitski (PRL (2001)).